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Chapter 7. SIMPLIFY: 20 12 3 20 = 4 5 = 2 5 12 3 12 3 3 3 3 4 3==

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Presentation on theme: "Chapter 7. SIMPLIFY: 20 12 3 20 = 4 5 = 2 5 12 3 12 3 3 3 3 4 3=="— Presentation transcript:

1 Chapter 7

2 SIMPLIFY: 20 12 3

3 20 = 4 5 = 2 5 12 3 12 3 3 3 3 4 3==

4 MULTIPLY: ( 2 5 ) 2

5 (2 5 ) 2 = 4 25 = 4 5 = 20.

6 COMPLETE: ( ___ ) 2 + ( ___ ) 2 = ( ___ ) 2 leg 1 leg 2 hyp

7 (leg 1 ) 2 + (leg 2 ) 2 = (hyp) 2 Pythagorean Theorem

8 Complete to form RIGHT triangles: 3, 4, ____5, 12, ____ 6, 8, ____8, 15, ____

9 3, 4, 55, 12, 13 6, 8, 108, 15, 17

10 Given segment lengths a, b, c longest Rightc 2 a 2 + b 2 Obtusec 2 a 2 + b 2 Acutec 2 a 2 + b 2

11 Rightc 2 = a 2 + b 2 Obtusec 2 > a 2 + b 2 Acutec 2 < a 2 + b 2

12 COMPLETE: L = ____ H = ____ 45

13 L = L H = L 2

14 SOLVE: x = _____ y = _____ 8 x y 45

15 x = 8 y = 8 2

16 COMPLETE: L L = _____ H = _____ 30 60 LsLs

17 L L = L s 3 H = 2 L s

18 SOLVE: x = _____ y = _____ 30 60 4 x y

19 x = 4 3 y = 8

20 AREA OF EQUILATERAL TRIANGLES : A = ½ ( ____ )( ____ ) A = ½ ( ____)( ____ ) A = ( ____ ) 2 ( ____ )

21 A = ½ bh A = ½ ap A = s 2 4

22 Find the area: (Equilateral Triangle) 6

23 30 6 3 9 18 A = ½ bh A = ½ (18)(9 ) A = 81 A = ½ ap A = ½ (3 )(54) A = 81 A = s 2 4 A = (18) 2 4 A = 81

24 AREA OF SQUARES: A = ( ____ ) 2 A = ½ ( ____ )( ____ )

25 A = s 2 A = ½ ap A = ½ d 1 d 2 side (s) a

26 Find the area: (Square) 10

27 20 A = s 2 A = 20 2 A = 400 A = ½ ap A = ½ (10)(80) A = 400 A = ½ d 1 d 2 A = ½ (20 )(20 ) A = 400 45

28 AREA OF REGULAR HEXAGONS: A = ½ ( ____ )( ____ )

29 A = ½ ap 120 a 60

30 Find the area: 8 (Regular Hexagon)

31 8 44 4 3 60 A = ½ ap A = ½ (4 3)(48) A = 96 3

32 AREA OF PARALLELOGRAMS: A = ( ____ )( ____ )

33 A = bh Base (b) Height (h)

34 AREA OF ANY TRIANGLE: A = ½ ( ____ )( ____ )

35 A = ½bh base (b) height (h)

36 Find the height: 66 4

37 h 2 + 2 2 = 6 2 h 2 = 32 h = 32 = 4 2 6 6 4 22 h

38 AREA OF RIGHT TRIANGLES: A = ½ ( ____ )( ____ )

39 A = ½ (l 1 )( l 2 ) leg (l 1 )leg (l 2 )

40 AREA OF RHOMBUSES: A = ½ ( ____ ) ( ____ )

41 A = ½ (d 1 )(d 2 )

42 AREA OF TRAPEZOIDS: A = ½ ( ____ ) ( ____ + ____ )

43 A = ½ (h)(b 1 + b 2 ) base (b 1 ) base (b 2 ) height (h)

44 FOR CIRCLES: Circumference = ( __ )( __ )( __ )

45 C = 2rπ

46 What fraction of the circumference is arc AB? r 120 o A B

47 120 = 1 360 3

48 AREA OF CIRCLES: A = ( ____ )( ____ ) 2

49 A = πr 2

50 What fraction of the circle is shaded? 45 0 r

51 45 = 1 360 8


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